diff --git a/pcu/PCU_Tests.ttcn b/pcu/PCU_Tests.ttcn
index a232a7f20..efb7d94e1 100644
--- a/pcu/PCU_Tests.ttcn
+++ b/pcu/PCU_Tests.ttcn
@@ -503,7 +503,7 @@ runs on RAW_PCU_Test_CT {
 	f_pcuif_tx_data_ind(data, lqual_cb, fn);
 }
 
-private function f_tx_rlcmac_ul_n_blocks(PacketUlAssign ul_tbf_ass, integer num_blocks := 1)
+private function f_tx_rlcmac_ul_n_blocks(PacketUlAssign ul_tbf_ass, integer num_blocks := 1, template (omit) GprsTlli tlli := omit)
 runs on RAW_PCU_Test_CT {
 	var template (value) RlcmacUlBlock ul_data := t_RLCMAC_UL_DATA(
 		tfi := ul_tbf_ass.dynamic.tfi_assignment,
@@ -511,8 +511,10 @@ runs on RAW_PCU_Test_CT {
 		bsn := 0, /* TODO: what should be here? */
 		blocks := { /* To be generated in loop */ });
 
-	/* HACK: patch missing TLLI; otherwise OsmoPCU rejects DATA.req */
-	ul_data.data.tlli := '00000001'O;
+	if (not istemplatekind(tlli, "omit")) {
+		ul_data.data.mac_hdr.tlli_ind := true;
+		ul_data.data.tlli := tlli;
+	}
 
 	for (var integer i := 0; i < num_blocks; i := i + 1) {
 		/* Prepare a new UL block (CV, random payload) */
@@ -1295,8 +1297,9 @@ testcase TC_t3169() runs on RAW_PCU_Test_CT {
 	/* Make sure we've got an Uplink TBF assignment */
 	f_imm_ass_verify_ul_tbf_ass(rr_imm_ass, ul_tbf_ass);
 
-	/* Send one UL block and make sure it is ACKED fine */
-	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1);
+	/* Send one UL block (with TLLI since we are in One-Phase Access
+	   contention resoultion) and make sure it is ACKED fine */
+	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1, tlli);
 	f_rx_rlcmac_dl_block_exp_ack_nack(dl_block, unused_fn);
 	/* UL block should be received in SGSN */
 	BSSGP[0].receive(tr_BSSGP_UL_UD(tlli, mp_gb_cfg.cell_id));
@@ -1417,8 +1420,9 @@ private function f_TC_mo_ping_pong(template (omit) MSRadioAccessCapabilityV ms_r
 		}
 	}
 
-	/* Send one UL block and make sure it is ACKED fine */
-	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1);
+	/* Send one UL block (with TLLI since we are in One-Phase Access
+	   contention resoultion) and make sure it is ACKED fine */
+	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1, tlli);
 	f_rx_rlcmac_dl_block_exp_ack_nack(dl_block, sched_fn);
 	/* DL ACK/NACK sets poll+rrbp requesting PACKET CONTROL ACK */
 	f_tx_rlcmac_ul_block(ts_RLCMAC_CTRL_ACK(tlli), 0, sched_fn);
@@ -1517,8 +1521,9 @@ private function f_TC_mt_ping_pong(template (omit) MSRadioAccessCapabilityV_BSSG
 	/* Make sure we've got an Uplink TBF assignment */
 	f_imm_ass_verify_ul_tbf_ass(rr_imm_ass, ul_tbf_ass);
 
-	/* Send one UL block and make sure it is ACKED fine */
-	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1);
+	/* Send one UL block (with TLLI since we are in One-Phase Access
+	   contention resoultion) and make sure it is ACKED fine */
+	f_tx_rlcmac_ul_n_blocks(ul_tbf_ass, 1, tlli);
 	f_rx_rlcmac_dl_block_exp_ack_nack(dl_block, sched_fn);
 	/* DL ACK/NACK sets poll+rrbp requesting PACKET CONTROL ACK */
 	f_tx_rlcmac_ul_block(ts_RLCMAC_CTRL_ACK(tlli), 0, sched_fn);